3782460 has 72 divisors (see below), whose sum is σ = 11663568. Its totient is φ = 915200.

The previous prime is 3782459. The next prime is 3782461. The reversal of 3782460 is 642873.

3782460 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3782459) and next prime (3782461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7000 + ... + 7520.

It is an arithmetic number, because the mean of its divisors is an integer number (161994).

Almost surely, 2^3782460 is an apocalyptic number.

3782460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831784).

3782460 is an abundant number, since it is smaller than the sum of its proper divisors (7881108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3782460 is a wasteful number, since it uses less digits than its factorization.

3782460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3782460 is about 1944.8547503606. The cubic root of 3782460 is about 155.8086081495.

The spelling of 3782460 in words is "three million, seven hundred eighty-two thousand, four hundred sixty".